Gravitational instability of expanding shells
Solution with nonlinear terms
Astronomical Institute, Academy of Sciences of the Czech Republic, BočníII 1401, 141 31 Praha 4, Czech Republic
Corresponding author: J. Palouš, firstname.lastname@example.org
Accepted: 22 May 2001
A model of the thin shell expanding into a uniform ambient medium is developed. Density perturbations are described using equations with linear and quadratic terms, and the linear and the nonlinear solutions are compared. We follow the time evolution of the fragmentation process and separate the well defined fragments. Their mass spectrum is compared to observations and we also estimate their formation time.
Key words: hydrodynamics / instabilities / stars: formation / ISM: bubbles / ISM: kinematics and dynamics / galaxies: ISM
© ESO, 2001